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Finding the Fourth Proportional to 931.71, 1,397.81 and 769.11

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Solution

The fourth proportional to 931.71, 1,397.81 and 769.11 is: 1,153.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.71 : 1,397.81 = 769.11 : x
  2. Step 2: Convert to fraction form
    931.71/1,397.81 = 769.11/x
  3. Step 3: Cross multiply
    931.71x = 1,397.81 × 769.11
  4. Step 4: Simplify right side
    931.71x = 1,075,069.65
  5. Step 5: Solve for x
    x = 1,075,069.65/931.71
  6. Step 6: Final answer
    x = 1,153.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.